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Finding the Fourth Proportional to 949.24, 1,422.70 and 461.80

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Solution

The fourth proportional to 949.24, 1,422.70 and 461.80 is: 692.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.24 : 1,422.70 = 461.80 : x
  2. Step 2: Convert to fraction form
    949.24/1,422.70 = 461.80/x
  3. Step 3: Cross multiply
    949.24x = 1,422.70 × 461.80
  4. Step 4: Simplify right side
    949.24x = 657,002.86
  5. Step 5: Solve for x
    x = 657,002.86/949.24
  6. Step 6: Final answer
    x = 692.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.